Question
Below is the graph of
.
Translate it to become the graph of
.
Translate it to become the graph of
Ask by Lowe Mathis. in the United States
Nov 22,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
Shift the graph of
left by 1 unit and then down by 4 units.
Solution

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The Deep Dive
To transform the graph of
into
, we start by shifting the graph left by 1 unit due to the
in the exponent. This means every point on the graph will move one unit to the left. Next, the entire graph will then be shifted down by 4 units because of the “-4” at the end. So, the new graph maintains the exponential shape but is repositioned.
Imagine the original curve that rises sharply to the right and gracefully approaches the x-axis to the left. After applying these transformations, the new curve will be shifted left and drop down four units, landing slightly above
on the y-axis. It’s still an exponential graph but now has a new home!